Characterizations of quasi-metric completeness in terms of Kannan-type fixed point theorems
نویسندگان
چکیده
منابع مشابه
Fixed point theorems for Kannan-type maps
for all x, y ∈ X. Kannan [] proved that if X is complete, then a Kannan mapping has a fixed point. It is interesting that Kannan’s theorem is independent of the Banach contraction principle []. Also, Kannan’s fixed point theorem is very important because Subrahmanyam [] proved that Kannan’s theorem characterizes the metric completeness. That is, a metric space X is complete if and only if ev...
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inspired by the work of suzuki in [t. suzuki, a generalized banach contraction principle that characterizes metric completeness, proc. amer. math. soc. 136 (2008), 1861--1869], we prove a fixed point theorem for contractive mappings that generalizes a theorem of geraghty in [m.a. geraghty, on contractive mappings, proc. amer. math. soc., 40 (1973), 604--608]an...
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ژورنال
عنوان ژورنال: Hacettepe Journal of Mathematics and Statistics
سال: 2017
ISSN: 1303-5010
DOI: 10.15672/hjms.2016.395